Remarks on the mass constraint for KP type equations
Analysis of PDEs
2007-05-23 v1
Abstract
For a rather general class of equations of Kadomtsev-Petviashvili (KP) type, we prove that the zero-mass (in ) constraint is satisfied at any non zero time even if it is not satisfied at initial time zero. Our results are based on a precise analysis of the fundamental solution of the linear part and its anti -derivative.
Cite
@article{arxiv.math/0603303,
title = {Remarks on the mass constraint for KP type equations},
author = {Luc Molinet and Jean-Claude Saut and Nikolay Tzvetkov},
journal= {arXiv preprint arXiv:math/0603303},
year = {2007}
}